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Finding the Fourth Proportional to 312,375.96, 430,756.62 and 267,203.48

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Solution

The fourth proportional to 312,375.96, 430,756.62 and 267,203.48 is: 368,465.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,375.96 : 430,756.62 = 267,203.48 : x
  2. Step 2: Convert to fraction form
    312,375.96/430,756.62 = 267,203.48/x
  3. Step 3: Cross multiply
    312,375.96x = 430,756.62 × 267,203.48
  4. Step 4: Simplify right side
    312,375.96x = 115,099,665,743.25
  5. Step 5: Solve for x
    x = 115,099,665,743.25/312,375.96
  6. Step 6: Final answer
    x = 368,465.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.